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We investigate the effect of interactions on the stability of a disordered, two-dimensional topological insulator realized as an array of nanowires or chains of magnetic atoms on a superconducting substrate. The Majorana zero-energy modes…

介观与纳米尺度物理 · 物理学 2015-09-23 A. Milsted , L. Seabra , I. C. Fulga , C. W. J. Beenakker , E. Cobanera

We study a disordered superconducting nanowire, with broken time-reversal and spin-rotational symmetry, which can be driven into a topological phase with end Majorana bound states by an externally applied magnetic field. As a function of…

介观与纳米尺度物理 · 物理学 2013-11-22 Benjamin M. Fregoso , Alejandro M. Lobos , S. Das Sarma

At zero temperature, a two-dimensional lattice of Majorana zero modes on mesoscopic superconducting islands exhibits a topologically-ordered toric code phase. Recently, a Landau field theory was used to describe the different phases of the…

介观与纳米尺度物理 · 物理学 2019-09-11 Alexander Ziesen , Fabian Hassler , Ananda Roy

In this work we consider superconductor-semiconductor hybrids containing both trivial and Majorana zero modes and explore their signatures in the Majorana polarization. In particular, we consider trivial zero energy states due to…

介观与纳米尺度物理 · 物理学 2024-10-04 Oladunjoye A. Awoga , Jorge Cayao

We consider time-reversal-symmetric two-channel semiconducting quantum wires proximity coupled to an s-wave superconductor. We analyze the requirements for a nontrivial topological phase and find that necessary conditions are 1) the…

介观与纳米尺度物理 · 物理学 2014-04-01 Erikas Gaidamauskas , Jens Paaske , Karsten Flensberg

Two-dimensional second-order topological superconductors (SOTSCs) have gapped bulk and edge states, with zero-energy Majorana bound states localized at corners. Motivated by recent advances in Majorana nanowire experiments, we propose to…

介观与纳米尺度物理 · 物理学 2019-09-25 S. Franca , D. V. Efremov , I. C. Fulga

High-order topological phases host robust boundary states at the boundary of the boundary, which can be interpreted from their boundary topology. In this work, considering the interplay between superconductors and magnetic fields to gap the…

超导电性 · 物理学 2021-09-29 Xun-Jiang Luo , Xiao-Hong Pan , Xin Liu

Topological superconductors, which support Majorana fermion excitations, have been the subject of intense studies due to their novel transport properties and their potential applications in fault-tolerant quantum computations. Here we…

超导电性 · 物理学 2014-02-24 James Jun He , Jiansheng Wu , Ting-Pong Choy , Xiong-Jun Liu , Y. Tanaka , K. T. Law

Topological quantum computation using non-Abelian Majorana zero modes localized in proximitized semiconductor nanowires requires careful electrostatic control of wire-junctions so as to manipulate and braid the zero modes enabling anyonic…

介观与纳米尺度物理 · 物理学 2018-01-16 Tudor D. Stanescu , Sankar Das Sarma

Topological superconductors are novel classes of quantum condensed phases, characterized by topologically nontrivial structures of Cooper pairing states. On the surfaces of samples and in vortex cores of topological superconductors,…

超导电性 · 物理学 2016-06-03 Masatoshi Sato , Satoshi Fujimoto

Intensive studies for more than three decades have elucidated multiple superconducting phases and odd-parity Cooper pairs in a heavy fermion superconductor UPt$_3$. We identify a time-reversal invariant superconducting phase of UPt$_3$ as a…

超导电性 · 物理学 2017-06-30 Youichi Yanase , Ken Shiozaki

We study multiband semiconducting nanowires proximity-coupled with an s-wave superconductor and calculate the topological phase diagram as a function of the chemical potential and magnetic field. The non-trivial topological state…

超导电性 · 物理学 2015-03-19 Tudor Stanescu , Roman M. Lutchyn , S. Das Sarma

We present a unified study of the effect of periodic, quasiperiodic and disordered potentials on topological phases that are characterized by Majorana end modes in 1D p-wave superconducting systems. We define a topological invariant derived…

强关联电子 · 物理学 2013-08-09 Wade DeGottardi , Diptiman Sen , Smitha Vishveshwara

Topological crystalline superconductivity in the locally non-centrosymmetric multilayer superconductors (SCs) is proposed. We study the odd-parity pair-density wave (PDW) state induced by the spin-singlet pairing interaction through the…

超导电性 · 物理学 2015-07-24 Tomohiro Yoshida , Manfred Sigrist , Youichi Yanase

Topological superconductors can support localized Majorana states at their boundaries. These quasi-particle excitations have non-Abelian statistics that can be used to encode and manipulate quantum information in a topologically protected…

We introduce two-dimensional topological insulators in proximity to high-temperature cuprate or iron-based superconductors as high-temperature platforms of Majorana Kramers pairs of zero modes. The proximity-induced pairing at the helical…

介观与纳米尺度物理 · 物理学 2018-09-03 Zhongbo Yan , Fei Song , Zhong Wang

The toric code based on Majorana fermions on mesoscopic superconducting islands is a promising candidate for quantum information processing. In the limit of vanishing Cooper-pair tunneling, it has been argued that the phase transition…

介观与纳米尺度物理 · 物理学 2017-11-08 Ananda Roy , Barbara M. Terhal , Fabian Hassler

We theoretically study the differential conductance of a one-dimensional normal-superconductor-normal-superconductor (N-SNS) junction with a phase bias applied between the two superconductors. We consider specifically a junction formed by a…

介观与纳米尺度物理 · 物理学 2016-08-31 Esben Bork Hansen , Jeroen Danon , Karsten Flensberg

This review elaborates pedagogically on the fundamental concept, basic theory, expected properties, and materials realizations of topological superconductors. The relation between topological superconductivity and Majorana fermions are…

超导电性 · 物理学 2017-05-18 Masatoshi Sato , Yoichi Ando

Whereas identification of Cooper pair symmetry is the first and crucial step in the investigation of unconventional superconductors, only a few have been established so far because of its own difficulties. To solve this problem, we develop…

超导电性 · 物理学 2021-06-09 Shingo Kobayashi , Yuki Yamazaki , Ai Yamakage , Masatoshi Sato